Ignatians not only offer the Holy Sacrifice of the Mass according to the classic Roman liturgy (termed the « Extraordinary Form of the Roman Liturgy » in Summorum Pontificum by Pope Benedict XVI) but also place it and the rest of the traditional liturgy at the source of their asceto-mystical determination, i.e. spirituality.
For those not familiar with the classic Roman liturgy, the following is a link to a filmed traditional Latin Mass with explanations by Archbishop Fulton Sheen:
Also, a video of the Mass of the Ages as enacted at the English seminary, Ushaw College in 1960: